After being closed for approximately 18 months due to a pandemic, Disneyland re-opened to California residents. The folks at Disney's analytics department collected data as ticket holders were entering and leaving the park. Suppose that they found a function E(t) that models the rate at which ticket holders enter the park and another function L(t) that models the rate at which ticket holders leave the park on a given day. Let N(t)= [ E(t)- L(t)dt , where t = 0 is 9 am, the time Disneyland opens (there are no ticket holders in the park at that time). a. What does the statement N(5)=17,000 mean in the context of this problem? b. What is the meaning of N'(11) in the context of the problem?
After being closed for approximately 18 months due to a pandemic, Disneyland re-opened to California residents. The folks at Disney's analytics department collected data as ticket holders were entering and leaving the park. Suppose that they found a function E(t) that models the rate at which ticket holders enter the park and another function L(t) that models the rate at which ticket holders leave the park on a given day. Let N(t)= [ E(t)- L(t)dt , where t = 0 is 9 am, the time Disneyland opens (there are no ticket holders in the park at that time). a. What does the statement N(5)=17,000 mean in the context of this problem? b. What is the meaning of N'(11) in the context of the problem?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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